2(x-9)+(x+6)=3(x-4)

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Solution for 2(x-9)+(x+6)=3(x-4) equation: 


Simplifying
2(x + -9) + (x + 6) = 3(x + -4)

Reorder the terms:
2(-9 + x) + (x + 6) = 3(x + -4)
(-9 * 2 + x * 2) + (x + 6) = 3(x + -4)
(-18 + 2x) + (x + 6) = 3(x + -4)

Reorder the terms:
-18 + 2x + (6 + x) = 3(x + -4)

Remove parenthesis around (6 + x)
-18 + 2x + 6 + x = 3(x + -4)

Reorder the terms:
-18 + 6 + 2x + x = 3(x + -4)

Combine like terms: -18 + 6 = -12
-12 + 2x + x = 3(x + -4)

Combine like terms: 2x + x = 3x
-12 + 3x = 3(x + -4)

Reorder the terms:
-12 + 3x = 3(-4 + x)
-12 + 3x = (-4 * 3 + x * 3)
-12 + 3x = (-12 + 3x)

Add '12' to each side of the equation.
-12 + 12 + 3x = -12 + 12 + 3x

Combine like terms: -12 + 12 = 0
0 + 3x = -12 + 12 + 3x
3x = -12 + 12 + 3x

Combine like terms: -12 + 12 = 0
3x = 0 + 3x
3x = 3x

Add '-3x' to each side of the equation.
3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
0 = 3x + -3x

Combine like terms: 3x + -3x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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